SOLUTION: Evertight, a leading manufacturer of quality nails, produces 1-, 2-, 3-, 4-, and 5-inch nails for various uses. In the production process, if there is an overrun or the nails

Question 1193771: Evertight, a leading manufacturer of quality nails,
produces 1-, 2-, 3-, 4-, and 5-inch nails for various
uses. In the production process, if there is an overrun or the nails are slightly defective, they are placed
in a common bin. Yesterday, 651 of the 1-inch nails,
243 of the 2-inch nails, 41 of the 3-inch nails, 451
of the 4-inch nails, and 333 of the 5-inch nails were
placed in the bin.
(a) What is the probability of reaching into the bin
and getting a 4-inch nail?
(b) What is the probability of getting a 5-inch nail?
(c) If a particular application requires a nail that is 3
inches or shorter, what is the probability of getting a nail that will satisfy the requirements of
the application?
Answer by ikleyn(53765) (Show Source): You can put this solution on YOUR website!
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In all cases, the probability is a fraction, whose denominator is the full number of nails in the bin.


In each case, the numerator of this fraction is the number of nails in the bin satisfying given description.


This hint is enough for you to complete the rest on your own.


For example, in case (a), the answer is  .

Make calculations and reduce the fraction if applicable.

And so on . . . Do other cases similarly . . .

Notice that the denominator is the same in all 3 cases: so, it should be calculated only once.

Happy calculations ( ! )

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